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Finding the Fourth Proportional to 9,708.98, 14,553.65 and 3,782.15

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Solution

The fourth proportional to 9,708.98, 14,553.65 and 3,782.15 is: 5,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.98 : 14,553.65 = 3,782.15 : x
  2. Step 2: Convert to fraction form
    9,708.98/14,553.65 = 3,782.15/x
  3. Step 3: Cross multiply
    9,708.98x = 14,553.65 × 3,782.15
  4. Step 4: Simplify right side
    9,708.98x = 55,044,133.19
  5. Step 5: Solve for x
    x = 55,044,133.19/9,708.98
  6. Step 6: Final answer
    x = 5,669.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.